Question

By method of completing square,find the roots of the quadratic equation :2x^2-2√2x+1=0​

Answer 1

2x²-2√2x+1=0

x²-√2x+1/2=0

(x)²-2(x)(√2/2)+(√2/2)²-(√2/2)²+1/2=0

(x-√2/2)²=(2/4)-1/2

(x-√2/2)²=0

(x-√2/2)=0

x=√2/2

Hope it helps u.....^_^